Doron S. Lubinsky, Edward B. Saff

Strong Asymptotics for Extremal Polynomials Associated with Weights on R

• Broschiertes Buch

Produktbeschreibung

0. The results are consequences of a strengthened form of the following assertion: Given 0 1. Auxiliary results include inequalities for weighted polynomials, and zeros of extremal polynomials. The monograph is fairly self-contained, with proofs involving elementary complex analysis, and the theory of orthogonal and extremal polynomials. It should be of interest to research workers in approximation theory and orthogonal polynomials.

Produktdetails

• Lecture Notes in Mathematics 1305
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-18958-9
• 1988.
• Seitenzahl: 168
• Erscheinungstermin: 9. März 1988
• Englisch
• Abmessung: 235mm x 155mm x 10mm
• Gewicht: 288g
• ISBN-13: 9783540189589
• ISBN-10: 3540189580
• Artikelnr.: 23886953

Inhaltsangabe

Notation and index of notation.- Statement of main results.- Weighted polynomials and zeros of extremal polynomials.- Integral equations.- Polynomial approximation of potentials.- Infinite-finite range inequalities and their sharpness.- The largest zeros of extremal polynomials.- Further properties of Un, R(x).- Nth root asymptotics for extremal polynomials.- Approximation by certain weighted polynomials, I.- Approximation by certain weighted polynomials, II.- Bernstein's formula and bernstein extremal polynomials.- Proof of the asymptotics for Enp(W).- Proof of the asymptotics for the Lp extremal polynomials.- The case p=2 : Orthonormal polynomials.